1,752,720

2⁴ × 3 × 5 × 67 × 109

1,752,720 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 67 × 109 and its 80 divisors sum to 5,565,120.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 67 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 5,565,120

Proper Divisor Sum 3,812,400

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1752719 ← → #1752721

Radix Representation

Decimal	1752720
Binary	110101011111010010000 (21 bits)
Octal	0o6537220
Hexadecimal	0x1ABE90

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 109 120 134 201 218 240 268 327 335 402 436 536 545 654 670 804 872 1,005 1,072 1,090 1,308 1,340 1,608 1,635 1,744 2,010 2,180 2,616 2,680 3,216 3,270 4,020 4,360 5,232 5,360 6,540 7,303 8,040 8,720 13,080 14,606

Collatz Trajectory (220 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,752,720 876,360 438,180 219,090 109,545 328,636 164,318 82,159 246,478 123,239 369,718 184,859 554,578 277,289 831,868 415,934 207,967 623,902 311,951 935,854 467,927 1,403,782 701,891 2,105,674 1,052,837 3,158,512 1,579,256 789,628 394,814 197,407 592,222 296,111 888,334 444,167 1,332,502 666,251 1,998,754 999,377 2,998,132 1,499,066 749,533 2,248,600 1,124,300 562,150 281,075 843,226 421,613 1,264,840 632,420 316,210 158,105 474,316 237,158 118,579 355,738 177,869 533,608 266,804 133,402 66,701

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